The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X X X X X X 3 3 X 1 0 3 0 0 0 0 3 6 6 0 0 3 3 3 3 3 3 3 0 6 0 6 0 6 0 3 6 3 6 6 0 0 6 3 0 3 3 3 3 3 0 0 0 3 0 3 3 3 3 6 3 3 6 0 0 0 3 0 0 3 6 0 6 0 3 3 6 6 0 3 0 3 3 3 3 0 0 6 6 3 3 6 0 6 0 3 3 0 6 6 0 3 0 3 6 6 6 3 0 6 0 6 6 6 3 0 0 6 0 0 0 3 0 6 6 3 0 3 3 0 0 3 6 3 3 6 6 0 0 6 6 6 6 6 3 3 0 3 6 3 6 6 3 6 3 0 0 6 0 0 3 3 0 6 0 0 3 6 0 6 6 6 0 0 0 0 3 6 6 6 6 6 0 6 0 0 6 6 0 3 0 0 6 6 3 6 3 6 0 6 0 0 6 6 3 0 0 0 6 0 3 6 3 6 6 3 3 6 3 6 3 3 3 0 6 0 generates a code of length 54 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 103. Homogenous weight enumerator: w(x)=1x^0+216x^103+162x^104+144x^105+648x^107+76x^108+648x^110+270x^112+18x^132+4x^135 The gray image is a code over GF(3) with n=486, k=7 and d=309. This code was found by Heurico 1.16 in 0.078 seconds.